Abstract
Using previously derived formulae for the equivalent current (Warnocke and Guenard 1951) and for the electron motion (Solymar 1961 b) in a high frequency gap, the beam loading is calculated. The solution is valid both for large space charge and large modulations up to the point when electron overtaking occurs. The weak space charge and small signal theories are contained as limiting cases. The dependence of the admittance on space charge and modulation index is demonstrated in a. number of graphs.

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